On invariance of plurigenera for foliations on surfaces

Paolo Cascini; Enrica Floris

On invariance of plurigenera for foliations on surfaces

Algebraic Geometry 2015-12-03 v2 Complex Variables

Authors: Paolo Cascini , Enrica Floris

Abstract

We show that if $(X_t,\mathcal{F}_t)_t$ is a family of foliations with reduced singularities on a smooth family of surfaces, then invariance of plurigenera holds for sufficiently large $m$ . On the other hand, we provide examples on which the result fails, for small values of $m$ .

Keywords

plurigenera foliations algebraic surfaces invariance reduced singularities families of foliations

Cite

@article{arxiv.1502.00817,
  title  = {On invariance of plurigenera for foliations on surfaces},
  author = {Paolo Cascini and Enrica Floris},
  journal= {arXiv preprint arXiv:1502.00817},
  year   = {2015}
}

Comments

38 pages, final version to appear in Crelle's Journal

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